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Finding the Third Proportional to 584,145 and 1,258,690.50

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Solution

The third proportional to 584,145 and 1,258,690.50 is: 2,712,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,145 : 1,258,690.50 = 1,258,690.50 : x
  2. Step 2: Convert to fraction form
    584,145/1,258,690.50 = 1,258,690.50/x
  3. Step 3: Cross multiply
    584,145x = 1,258,690.50 × 1,258,690.50
  4. Step 4: Simplify right side
    584,145x = 1,584,301,774,790.25
  5. Step 5: Solve for x
    x = 1,584,301,774,790.25/584,145
  6. Step 6: Final answer
    x = 2,712,172.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.